Random Variables and Discrete Probability Distributions

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Does the table below represent a probability distribution for a discrete r<strong>and</strong>om variable? x P(X = x) Penny 0.13 Nickel 0.22 Dime 0.38 Quarter -0.29 0.29 Dollar 0.56
Does the table below represent a probability distribution for a discrete r<strong>and</strong>om variable? x P(X = x) Penny 0.13 Nickel 0.22 Dime 0.38 Quarter -0.29 0.29 Dollar 0.56 NO! Although the sum of the values in the P(X = x) column is one, none of these values can be negative if these values are to be probabilities.
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Random Variables and Discrete Proba
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Random Variable • A random variab
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Random Variable • A discrete rand
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Random Variable • A continuous ra
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Page 17 and 18: Probability Distribution for a Disc
Page 25 and 26: What is the probability distributio
Page 57 and 58: Did you notice that each example me
Page 59 and 60: Requirements for a probability dist
Page 61 and 62: Requirements for a probability dist
Page 63 and 64: Did you notice that if the examples
Page 65 and 66: Did you notice that if the examples
Page 67: Notation • For clarity, we will u
Page 71 and 72: Does the table below represent a pr
Page 77 and 78: Probability Histogram • As with a
Page 79 and 80: Raffle Example • Although there a
Page 81 and 82: Raffle Example • Since not not wi
Page 83 and 84: Raffle Example • Next, we determi
Page 89 and 90: Raffle Example • Finally, we comp
Page 91 and 92: Raffle Example Probability Distribu
Page 93 and 94: Raffle Example • We do not need t
Page 95 and 96: Raffle Example • Winnings Winning
Page 97 and 98: Raffle Example • Alternate Altern
Page 103 and 104: Raffle Example • Combining this i
Page 105 and 106: Raffle Example • Note: The point
Page 107 and 108: Raffle Example • Did you notice t
Page 109 and 110: Raffle Example • Did you notice t
Page 111 and 112: Expected Value for a Discrete Rando
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How many Heads should we expect if
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What is the expected value for the
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What is the expected prize for our
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What are the expected winnings for
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For our raffle example, can we use
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Variance and Standard Deviation for
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What is the standard deviation for
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Variance and Standard Deviation for
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Random Variables and Discrete Probability Distributions

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